Existence and uniqueness of renormalized periodic solution to a nonlinear parabolic problem with variable exponent and \(L^1\) data

DOI10.1016/J.JMAA.2021.125674zbMath1475.35018OpenAlexW3200404912MaRDI QIDQ2235818

Abderrahim Charkaoui, Nour Eddine Alaa

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125674

zbMATH Keywords

Sobolev spaces with variable exponent\(p(x)\)-growth conditions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (5)

Periodic parabolic problem with discontinuous coefficients: Mathematical analysis and numerical simulation ⋮ An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ Integral solution for a parabolic equation driven by the \(p(x)\)-Laplacian operator with nonlinear boundary conditions and \(L^1\) data ⋮ Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum ⋮ Time periodic solutions for strongly nonlinear parabolic systems with \(p(x)\)-growth conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease
• Orlicz spaces and modular spaces
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Positive periodic solutions for a system of anisotropic parabolic equations
• Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
• A reaction-diffusion system modeling predator-prey with prey-taxis
• Compact sets in the space \(L^ p(0,T;B)\)
• Nonlinear parabolic boundary value problems with upper and lower solutions
• Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources
• Existence results for nonlinear parabolic equations via strong convergence of truncations
• Electrorheological fluids: modeling and mathematical theory
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Lack of smoothing for bounded solutions of a semilinear parabolic equation
• Parabolic systems driven by general differential operators with variable exponents and strong nonlinearities with respect to the gradient
• Weak periodic solution for semilinear parabolic problem with singular nonlinearities and \(L^1\) data
• Well-posedness and large-time behaviors of solutions for a parabolic equation involving \(p(x)\)-Laplacian
• Existence and uniqueness of an entropy solution for a nonlinear reaction-diffusion system applied to texture analysis
• Nonlinear elliptic equations with variable exponent: old and new
• Periodic solutions in modelling lagoon ecological interactions
• Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
• Analysis of a lagoon ecological model with anoxic crises and impulsive harvesting
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Existence of renormalized solutions to a nonlinear parabolic equation in L¹ setting with nonstandard growth condition and gradient term
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization
• Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent
• Isotropic and anisotropic double-phase problems: old and new
• Partial Differential Equations with Variable Exponents
• Variable Exponent, Linear Growth Functionals in Image Restoration
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Global existence for reaction-diffusion systems with mass control and critical growth with respect to the gradient
• Mathematical modeling of electrorheological materials
• Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems

This page was built for publication: Existence and uniqueness of renormalized periodic solution to a nonlinear parabolic problem with variable exponent and \(L^1\) data